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Finding the Fourth Proportional to 70,638.88, 105,945.54 and 28,517.20

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Solution

The fourth proportional to 70,638.88, 105,945.54 and 28,517.20 is: 42,770.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,638.88 : 105,945.54 = 28,517.20 : x
  2. Step 2: Convert to fraction form
    70,638.88/105,945.54 = 28,517.20/x
  3. Step 3: Cross multiply
    70,638.88x = 105,945.54 × 28,517.20
  4. Step 4: Simplify right side
    70,638.88x = 3,021,270,153.29
  5. Step 5: Solve for x
    x = 3,021,270,153.29/70,638.88
  6. Step 6: Final answer
    x = 42,770.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.